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Jungck  obtained a fixed-point theorem for a pair of continuous selfmappings on a complete metric space. Recently, Barada K. Ray  extended the theorem of Jungck  for three self-mappings on a complete metric space. In the present paper we omit the continuity of the mapping used by Ray  and replace his four conditions by a single condition. Our results so obtained generalize and/or unify fixed-point theorems of Jungck , Ray , Rhoades , Ciric , Pal and Maiti , and Sharmadoi:10.1155/s0161171290001089 fatcat:eel5fbda2rfvjei6xsb5bakdlm